The rate of strong consistency of the nearest neighbor density estimator for negatively dependent random variables (Q1954400)
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scientific article; zbMATH DE number 6172964
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The rate of strong consistency of the nearest neighbor density estimator for negatively dependent random variables |
scientific article; zbMATH DE number 6172964 |
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The rate of strong consistency of the nearest neighbor density estimator for negatively dependent random variables (English)
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11 June 2013
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Summary: Let \(\{X_n : n \geq 1\}\) be a sequence of negatively dependent random variables. Based on \((X_1, \dots, X_n)\) we investigate the rate of pointwise consistency and strong consistency of the nonparametric density estimator proposed by \textit{Yu} [Stat. Rep. Res. 1993-6, Univ. Omeoa (1986)]. We extend the corresponding results under negatively dependent samples.
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